Information on Result #522229
There is no (37, 158, 162)-net in base 4, because extracting embedded orthogonal array would yield OA(4158, 162, S4, 121), but
- the (dual) Plotkin bound shows that M ≥ 8 543948 143683 640329 580086 824678 208458 410818 089426 611079 788166 431288 878903 122562 200091 848347 746304 / 61 > 4158 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (37, 159, 162)-net in base 4 | [i] | m-Reduction | |
| 2 | No (37, 160, 162)-net in base 4 | [i] | ||
| 3 | No (37, 161, 162)-net in base 4 | [i] | ||
| 4 | No (37, 162, 162)-net in base 4 | [i] | ||
| 5 | No (37, 163, 162)-net in base 4 | [i] | ||
| 6 | No (37, 164, 162)-net in base 4 | [i] | ||
| 7 | No (37, 165, 162)-net in base 4 | [i] | ||
| 8 | No (37, 166, 162)-net in base 4 | [i] | ||
| 9 | No (37, 167, 162)-net in base 4 | [i] | ||
| 10 | No (37, 168, 162)-net in base 4 | [i] | ||
| 11 | No (37, 169, 162)-net in base 4 | [i] | ||
| 12 | No (37, 170, 162)-net in base 4 | [i] | ||
| 13 | No (37, 171, 162)-net in base 4 | [i] | ||
| 14 | No (37, 172, 162)-net in base 4 | [i] | ||
| 15 | No (37, 173, 162)-net in base 4 | [i] | ||
| 16 | No (37, 174, 162)-net in base 4 | [i] | ||
| 17 | No (37, 175, 162)-net in base 4 | [i] | ||
| 18 | No (37, 176, 162)-net in base 4 | [i] | ||
| 19 | No (37, 177, 162)-net in base 4 | [i] | ||
| 20 | No (37, 178, 162)-net in base 4 | [i] | ||
| 21 | No (37, 179, 162)-net in base 4 | [i] | ||
| 22 | No (37, 180, 162)-net in base 4 | [i] | ||
| 23 | No (37, 181, 162)-net in base 4 | [i] | ||
| 24 | No (37, 182, 162)-net in base 4 | [i] | ||
| 25 | No (37, 183, 162)-net in base 4 | [i] | ||
| 26 | No (37, 184, 162)-net in base 4 | [i] | ||
| 27 | No (37, 185, 162)-net in base 4 | [i] | ||
| 28 | No (37, 186, 162)-net in base 4 | [i] | ||
| 29 | No (37, 187, 162)-net in base 4 | [i] | ||
| 30 | No (37, 188, 162)-net in base 4 | [i] | ||
| 31 | No (37, 189, 162)-net in base 4 | [i] | ||
| 32 | No (37, 190, 162)-net in base 4 | [i] | ||
| 33 | No (37, 191, 162)-net in base 4 | [i] | ||
| 34 | No (37, 192, 162)-net in base 4 | [i] | ||
| 35 | No (37, 193, 162)-net in base 4 | [i] | ||
| 36 | No (37, 194, 162)-net in base 4 | [i] | ||
| 37 | No (37, 195, 162)-net in base 4 | [i] | ||
| 38 | No (37, 196, 162)-net in base 4 | [i] | ||
| 39 | No (37, 197, 162)-net in base 4 | [i] | ||
| 40 | No (37, 198, 162)-net in base 4 | [i] | ||
| 41 | No (37, 199, 162)-net in base 4 | [i] | ||
| 42 | No (37, 200, 162)-net in base 4 | [i] | ||
| 43 | No (37, 201, 162)-net in base 4 | [i] | ||
| 44 | No (37, 202, 162)-net in base 4 | [i] | ||
| 45 | No (37, 203, 162)-net in base 4 | [i] | ||
| 46 | No (37, 204, 162)-net in base 4 | [i] | ||
| 47 | No (37, 205, 162)-net in base 4 | [i] | ||
| 48 | No (37, 206, 162)-net in base 4 | [i] | ||
| 49 | No (37, 207, 162)-net in base 4 | [i] | ||
| 50 | No (37, 208, 162)-net in base 4 | [i] | ||
| 51 | No (37, 209, 162)-net in base 4 | [i] | ||
| 52 | No (37, 210, 162)-net in base 4 | [i] | ||
| 53 | No (37, 211, 162)-net in base 4 | [i] | ||
| 54 | No (37, 212, 162)-net in base 4 | [i] | ||
| 55 | No (37, 213, 162)-net in base 4 | [i] | ||
| 56 | No (37, 214, 162)-net in base 4 | [i] | ||
| 57 | No (37, 215, 162)-net in base 4 | [i] | ||
| 58 | No (37, 216, 162)-net in base 4 | [i] | ||
| 59 | No (37, 217, 162)-net in base 4 | [i] | ||
| 60 | No (37, 218, 162)-net in base 4 | [i] | ||
| 61 | No (37, 219, 162)-net in base 4 | [i] | ||
| 62 | No (37, 220, 162)-net in base 4 | [i] | ||
| 63 | No (37, 221, 162)-net in base 4 | [i] | ||
| 64 | No (37, 222, 162)-net in base 4 | [i] | ||
| 65 | No (37, 223, 162)-net in base 4 | [i] | ||
| 66 | No (37, 224, 162)-net in base 4 | [i] | ||
| 67 | No (37, 225, 162)-net in base 4 | [i] | ||
| 68 | No (37, 226, 162)-net in base 4 | [i] | ||
| 69 | No (37, 227, 162)-net in base 4 | [i] | ||
| 70 | No (37, 228, 162)-net in base 4 | [i] | ||
| 71 | No (37, 229, 162)-net in base 4 | [i] | ||
| 72 | No (37, 230, 162)-net in base 4 | [i] | ||
| 73 | No (37, 231, 162)-net in base 4 | [i] | ||
| 74 | No (37, 232, 162)-net in base 4 | [i] | ||
| 75 | No (37, 233, 162)-net in base 4 | [i] | ||
| 76 | No (37, 234, 162)-net in base 4 | [i] | ||
| 77 | No (37, 235, 162)-net in base 4 | [i] | ||
| 78 | No (37, 236, 162)-net in base 4 | [i] | ||
| 79 | No (37, 237, 162)-net in base 4 | [i] | ||
| 80 | No (37, 238, 162)-net in base 4 | [i] | ||
| 81 | No (37, 239, 162)-net in base 4 | [i] | ||
| 82 | No (37, 240, 162)-net in base 4 | [i] | ||
| 83 | No (37, 241, 162)-net in base 4 | [i] | ||
| 84 | No (37, 242, 162)-net in base 4 | [i] | ||
| 85 | No (37, 243, 162)-net in base 4 | [i] | ||
| 86 | No (37, 244, 162)-net in base 4 | [i] | ||
| 87 | No (37, 245, 162)-net in base 4 | [i] | ||
| 88 | No (37, 246, 162)-net in base 4 | [i] | ||
| 89 | No (37, 247, 162)-net in base 4 | [i] | ||
| 90 | No (37, 248, 162)-net in base 4 | [i] | ||
| 91 | No (37, 249, 162)-net in base 4 | [i] | ||
| 92 | No (37, 250, 162)-net in base 4 | [i] | ||
| 93 | No (37, 251, 162)-net in base 4 | [i] | ||
| 94 | No (37, 252, 162)-net in base 4 | [i] | ||
| 95 | No (37, 253, 162)-net in base 4 | [i] | ||
| 96 | No (37, 254, 162)-net in base 4 | [i] | ||
| 97 | No (37, 255, 162)-net in base 4 | [i] | ||
| 98 | No (37, 256, 162)-net in base 4 | [i] | ||
| 99 | No (37, 257, 162)-net in base 4 | [i] | ||